Question

what is the y-intercept of the line: 6x-3y=15

Explanation:

Step1: Recall y - intercept definition

The y - intercept of a line is the value of \(y\) when \(x = 0\). So we substitute \(x=0\) into the equation \(6x - 3y=15\).
Substituting \(x = 0\) gives: \(6(0)-3y = 15\)

Step2: Solve for \(y\)

Simplify the left - hand side: \(-3y=15\)
Divide both sides by \(- 3\): \(y=\frac{15}{-3}=- 5\)

Answer:

\(-5\)